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Finding the Fourth Proportional to 790.02, 1,185.00 and 242.17

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Solution

The fourth proportional to 790.02, 1,185.00 and 242.17 is: 363.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    790.02 : 1,185.00 = 242.17 : x
  2. Step 2: Convert to fraction form
    790.02/1,185.00 = 242.17/x
  3. Step 3: Cross multiply
    790.02x = 1,185.00 × 242.17
  4. Step 4: Simplify right side
    790.02x = 286,974.24
  5. Step 5: Solve for x
    x = 286,974.24/790.02
  6. Step 6: Final answer
    x = 363.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.